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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Symmetry for finite dimensional Hopf algebras


Author: J. E. Humphreys
Journal: Proc. Amer. Math. Soc. 68 (1978), 143-146
MSC: Primary 16A24; Secondary 17B50
MathSciNet review: 0485965
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Abstract: This note refines criteria given by R. G. Larson and M. E. Sweedler for a finite dimensional Hopf algebra to be a symmetric algebra, with applications to restricted universal enveloping algebras and to certain finite dimensional subalgebras of the hyperalgebra of a semisimple algebraic group in characteristic p.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0485965-2
PII: S 0002-9939(1978)0485965-2
Keywords: Hopf algebra, Frobenius algebra, symmetric algebra, restricted Lie algebra, integral, unimodular, hyperalgebra of semisimple algebraic group
Article copyright: © Copyright 1978 American Mathematical Society